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Adaptive Compressive Tomography with No a priori Information.

D Ahn¹, Y S Teo¹, H Jeong¹

¹Department of Physics and Astronomy, Seoul National University, 08826 Seoul, South Korea.

Physical Review Letters

|April 2, 2019

Summary

We developed an adaptive compressive tomography scheme to reduce measurement configurations for quantum state reconstruction. This method efficiently determines quantum states without prior assumptions, advancing quantum information science.

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Area of Science:

Quantum information science
Quantum computation
Quantum state reconstruction

Background:

Quantum state tomography is essential for quantum information and computation.
Increasing system dimensions necessitate a vast number of measurement configurations, posing a significant challenge.

Purpose of the Study:

To propose and experimentally demonstrate an adaptive compressive tomography scheme.
To significantly reduce the number of measurement configurations required for quantum state reconstruction.

Main Methods:

Inspired by compressed-sensing protocols for signal recovery.
An intuitive adaptive strategy for selecting measurement configurations.
Reconstruction of quantum states without a priori assumptions about their properties.

Main Results:

Demonstrated a substantial reduction in required measurement configurations.
Successfully reconstructed quantum states using the proposed scheme.
Validated the effectiveness of the adaptive compressive tomography approach.

Conclusions:

The adaptive compressive tomography scheme offers a more efficient method for quantum state determination.
This approach overcomes the scalability limitations of traditional tomography.
Enables more practical applications in quantum information processing.